{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import gym\n",
    "import itertools\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import sys\n",
    "\n",
    "if \"../\" not in sys.path:\n",
    "  sys.path.append(\"../\") \n",
    "\n",
    "from collections import defaultdict\n",
    "from lib.envs.cliff_walking import CliffWalkingEnv\n",
    "from lib import plotting\n",
    "\n",
    "matplotlib.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = CliffWalkingEnv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_epsilon_greedy_policy(Q, epsilon, nA):\n",
    "    \"\"\"\n",
    "    Creates an epsilon-greedy policy based on a given Q-function and epsilon.\n",
    "    \n",
    "    Args:\n",
    "        Q: A dictionary that maps from state -> action-values.\n",
    "            Each value is a numpy array of length nA (see below)\n",
    "        epsilon: The probability to select a random action . float between 0 and 1.\n",
    "        nA: Number of actions in the environment.\n",
    "    \n",
    "    Returns:\n",
    "        A function that takes the observation as an argument and returns\n",
    "        the probabilities for each action in the form of a numpy array of length nA.\n",
    "    \n",
    "    \"\"\"\n",
    "    def policy_fn(observation):\n",
    "        A = np.ones(nA, dtype=float) * epsilon / nA\n",
    "        best_action = np.argmax(Q[observation])\n",
    "        A[best_action] += (1.0 - epsilon)\n",
    "        return A\n",
    "    return policy_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def q_learning(env, num_episodes, discount_factor=1.0, alpha=0.5, epsilon=0.1):\n",
    "    \"\"\"\n",
    "    Q-Learning algorithm: Off-policy TD control. Finds the optimal greedy policy\n",
    "    while following an epsilon-greedy policy\n",
    "    \n",
    "    Args:\n",
    "        env: OpenAI environment.\n",
    "        num_episodes: Number of episodes to run for.\n",
    "        discount_factor: Gamma discount factor.\n",
    "        alpha: TD learning rate.\n",
    "        epsilon: Chance the sample a random action. Float betwen 0 and 1.\n",
    "    \n",
    "    Returns:\n",
    "        A tuple (Q, episode_lengths).\n",
    "        Q is the optimal action-value function, a dictionary mapping state -> action values.\n",
    "        stats is an EpisodeStats object with two numpy arrays for episode_lengths and episode_rewards.\n",
    "    \"\"\"\n",
    "    \n",
    "    nA = env.action_space.n\n",
    "    \n",
    "    # The final action-value function.\n",
    "    # A nested dictionary that maps state -> (action -> action-value).\n",
    "    Q = defaultdict(lambda: np.zeros(env.action_space.n))\n",
    "\n",
    "    # Keeps track of useful statistics\n",
    "    stats = plotting.EpisodeStats(\n",
    "        episode_lengths=np.zeros(num_episodes),\n",
    "        episode_rewards=np.zeros(num_episodes))    \n",
    "    \n",
    "    # The policy we're following\n",
    "    policy = make_epsilon_greedy_policy(Q, epsilon, nA)\n",
    "    \n",
    "    for i_episode in range(num_episodes)  :\n",
    "        \n",
    "        epsilon /= (i_episode + 1)\n",
    "        \n",
    "        # Print out which episode we're on, useful for debugging.\n",
    "        if ((i_episode + 1) % 100 == 0):\n",
    "            print(\"Episode {}/{}.\".format(i_episode + 1, num_episodes))\n",
    "            sys.stdout.flush()\n",
    "        \n",
    "        state = env.reset()\n",
    "        terminated = False\n",
    "        \n",
    "        for t in itertools.count():\n",
    "            \n",
    "            # sample the action from the epsilon greedy policy\n",
    "            action = np.random.choice(nA, p=policy(state))\n",
    "            \n",
    "            # Perform the action -> Get the reward and observe the next state\n",
    "            new_state, reward, terminated, _ = env.step(action)\n",
    "            \n",
    "            stats.episode_rewards[i_episode] += reward\n",
    "            stats.episode_lengths[i_episode] = t\n",
    "\n",
    "            # value that we should have got\n",
    "            # The Q-learning target policy is a greedy one, hence the `max`\n",
    "            td_target = reward + discount_factor * max(Q[new_state])\n",
    "            td_error = td_target - Q[state][action]\n",
    "            \n",
    "            # Q-learning update\n",
    "            Q[state][action] += alpha * td_error\n",
    "            \n",
    "            # update current state\n",
    "            state = new_state\n",
    "            \n",
    "            if terminated:\n",
    "                break\n",
    "    \n",
    "    return Q, stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Episode 100/500.\n",
      "Episode 200/500.\n",
      "Episode 300/500.\n",
      "Episode 400/500.\n",
      "Episode 500/500.\n"
     ]
    }
   ],
   "source": [
    "Q, stats = q_learning(env, 500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae4dd95150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae4dd71150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fae4bab8c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<matplotlib.figure.Figure at 0x7fae4dd95150>,\n",
       " <matplotlib.figure.Figure at 0x7fae4dd71150>,\n",
       " <matplotlib.figure.Figure at 0x7fae4bab8c10>)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plotting.plot_episode_stats(stats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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